x^4-12x+323因式分解(过程)
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/20 22:49:30
x^4-12x+323因式分解(过程)
x^4-12x+323
=x^4+324-12x-1
=(x^4+36x^2+324)-(36x^2+12x+1)
=(x^2+18)^2-(6x+1)^2
=(x^2+18+6x+1)(x^2+18-6x-1)
=(x^2+6x+19)(x^2-6x+17)
=x^4+324-12x-1
=(x^4+36x^2+324)-(36x^2+12x+1)
=(x^2+18)^2-(6x+1)^2
=(x^2+18+6x+1)(x^2+18-6x-1)
=(x^2+6x+19)(x^2-6x+17)